Is a game even a service to begin with? The servers which provide online services to a game may be one, but why would the same apply to standalone instances of a software that you have purchased? At most I could see why this could mean they aren't obligated to continue offering updates, but not that it ought to allow them to take back the software they sold.
All of this is only happening because the law does not give a damn about customer rights anymore. It's entirely dishonest to visibly sell something and then turn around and say "we only sold 'access'". That's not what a sale means. Companies were simply allowed to redefine what purchases and ownership means, and they are trying to do the same even with devices you physically carry with you.